8,323,973

7² × 257 × 661

8,323,973 factors as 7^2 × 257 × 661. Its 12 positive divisors give a proper-divisor sum of 1,411,399, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 7^2 × 257 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,735,372

Proper Divisor Sum 1,411,399

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8323967 ← → #8323979

Radix Representation

Decimal	8323973
Binary	11111110000001110000101 (23 bits)
Octal	0o37601605
Hexadecimal	0x7F0385

Divisor Catalog (12)

1 7 49 257 661 1,799 4,627 12,593 32,389 169,877 1,189,139 8,323,973

Collatz Trajectory (199 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,323,973 24,971,920 12,485,960 6,242,980 3,121,490 1,560,745 4,682,236 2,341,118 1,170,559 3,511,678 1,755,839 5,267,518 2,633,759 7,901,278 3,950,639 11,851,918 5,925,959 17,777,878 8,888,939 26,666,818 13,333,409 40,000,228 20,000,114 10,000,057 30,000,172 15,000,086 7,500,043 22,500,130 11,250,065 33,750,196 16,875,098 8,437,549 25,312,648 12,656,324 6,328,162 3,164,081 9,492,244 4,746,122 2,373,061 7,119,184 3,559,592 1,779,796 889,898 444,949 1,334,848 667,424 333,712 166,856 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,323,972 Browse Full Index Next Integer #8,323,974 →